Search a number
-
+
103196628 = 22326146993
BaseRepresentation
bin1100010011010…
…10011111010100
321012011221011100
412021222133110
5202404243003
614123510100
72362104543
oct611523724
9235157140
10103196628
1153285177
122a688330
13184c27c2
14d9c415a
1590d6ba3
hex626a7d4

103196628 has 36 divisors (see below), whose sum is σ = 265140148. Its totient is φ = 33834240.

The previous prime is 103196623. The next prime is 103196629. The reversal of 103196628 is 826691301.

103196628 is a `hidden beast` number, since 10 + 3 + 19 + 6 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3755844 + 99440784 = 1938^2 + 9972^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103196592 and 103196601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103196623) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21301 + ... + 25692.

Almost surely, 2103196628 is an apocalyptic number.

103196628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103196628 is an abundant number, since it is smaller than the sum of its proper divisors (161943520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103196628 is a wasteful number, since it uses less digits than its factorization.

103196628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47064 (or 47059 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 103196628 is about 10158.5741125416. The cubic root of 103196628 is about 469.0529109870.

The spelling of 103196628 in words is "one hundred three million, one hundred ninety-six thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 46993 93986 140979 187972 281958 422937 563916 845874 1691748 2866573 5733146 8599719 11466292 17199438 25799157 34398876 51598314 103196628